Cartesian Grid Methods for Fluid Flow in Complex Geometries,
by R. J. LeVeque and D. Calhoun, Appears in "Computational Modeling in Biological Fluid Dynamics", (L. J. Fauci and S. Gueron, eds.) IMA Volumes in Mathematics and its Applications 124, pp. 117-143, Springer-Verlag, 2001. (Proceedings of an
     IMA Workshop January, 1999.)

Abstract. Biological fluid dynamics typically involves geometrically complicated structures which are often deforming in time. We give a brief overview of some approaches based on using fixed Cartesian grids instead of attempting to use a grid which conforms to the boundary. Both finite-difference and finite-volume methods are discussed, as well as a combined approach which has recently been used for computing incompressible flow using the streamfunction-vorticity formulation of the incompressible Navier-Stokes equations.

Preprint: rjl-dcima99.ps.gz ... rjl-dcima99.pdf

bibtex entry:
@InProceedings{dc-rjl:ima99,
author = "R. J. LeVeque and D. Calhoun",
title = "Cartesian Grid Methods for Fluid Flow in Complex Geometries",
booktitle = "Computational Modeling in Biological Fluid Dynamics",
editor = "L. J. Fauci and S. Gueron",
series = "IMA Volumes in Mathematics and its Applications",
volume = "124",
publisher = "Springer-Verlag",
pages = "117--143",
year = "2001",
}

Back to Recent Publication list